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MHT CET202312 May 2023Evening ShiftMathematicsVector AlgebraActual

A, B, C, D are four points in a plane with position vectors a , b , c , d respectively such that ( a - d ) ( b - c )=( b - d ) ( c - a )=0 . The point D , then is the of ABC

Options

  1. Acentroid
  2. Bcircumcentre
  3. Cincentre
  4. Dorthocentre

Correct answer

D. orthocentre

Step-by-step solution

aligned & ( a - d ) ( b - c )=( b - d )( c - a )=0 & AD BC = BD CA =0 & AD BC and BD CA aligned D is the orthocentre of A B C .

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